MCQs of Integrals

Showing 341 to 350 out of 403 Questions

341.

\int_{0}^{1} \frac{1}{{(x^{2} + 1)}^{\frac{3}{2}}} d x

= _____ .

342.

\int_{2}^{4} \log [x] d x

= _____

343.

I = \int_{0}^{3 π} f (\cos^{2} x) d x

and

J = \int_{0}^{π} f (\cos^{2} x) d x

then _____ .

344.

\int_{0}^{2} |x^{2} - 1| d x

= _____

345.

\int_{0}^{π} |\cos x| d x

= _____ .

346.

I_{1} = \int_{0}^{\frac{π}{4}} \sin^{2} x d x

and

I_{2} = \int_{0}^{\frac{π}{4}} \cos^{2} x d x

then _____

347.

\int_{0}^{π} \sqrt{1 + 4 \sin^{2} \frac{x}{2} - 4 \sin \frac{x}{2}} d x

= _____

348.

\int_{0}^{\frac{π}{2}} \frac{d x}{1 + \tan^{3} x}

= _____

349.

\int_{0}^{a} \frac{d x}{x + \sqrt{a^{2} - x^{2}}}

= _____ .

350.

\int_{0}^{1} x {(1 - x)}^{99} d x

= _____ .

Showing 341 to 350 out of 403 Questions